Mom's jam

Mrs. Hubbard has invented an ingenious system so that nobody touches her blackberry jam. He filled twenty -five jars and placed them so that there were exactly twenty gallons of jam for shelf.

Can you find out what your secret is and how much does a jar of the great?

A poet said, "what we learn with pleasure we never forget it," which is a more elegant way to say that "there are better ways to fit knowledge in the head of a child than sticks."

To the children of Mrs. Hubbard would love to learn how to extract unknown jam from those jars either by reduction, elimination or replacement of jars full of other gaps. In fact, they would love to reduce everything to small quantities, and even end the fractions, if not for the strict norms of his mother.

We will solve the problem by finding out the amounts in each jar. Knowing that each shelf has twenty gallons, let's start by taking out six small jars out of the two shelves from below. We will see that two large jars are equivalent to four medium.

Let's regain the small jars and take the two large from the middle shelf and match the shelf above taking out the big jar and two medium. This shows us that a medium jar contains the same as three little ones.

Now, if we multiply all large jars by two we will obtain medium jars and if we multiply those jars by three we will reduce them to the smallest size. And when we add them we will all see that all the jam can be reduced to 54 small, 18 medium or 9 tone. A large jar will contain 1/9 of 60 gallons, this is 6 and 2/3 gallons.